Angles formed by chords, secants and tangents

Front

What is the angle formed by two chords that intersect inside a circle?

Back

The angle formed is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Tags

CCSS.HSG.C.A.2

Front

Define the angle formed by a tangent and a chord through the point of contact.

Back

The angle is equal to half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles formed by two secants that intersect outside a circle?

Back

The angle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

The measure of each angle is equal to half the sum of the measures of the arcs intercepted by the angle.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by a tangent and a secant that intersect at a point outside the circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

If arc AB measures 60° and arc AC measures 80°, what is the measure of angle A?

Back

Angle A = 1/2 (60° + 80°) = 70°.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the angle formed by two intersecting chords in a circle?

Back

Angle = 1/2 (arc1 + arc2), where arc1 and arc2 are the arcs intercepted by the angle.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by two secants that intersect outside the circle if arc AB = 100° and arc CD = 40°?

Back

Angle = 1/2 (100° - 40°) = 30°.

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc XY is 120° and arc XZ is 60°, what is the measure of angle X?

Back

Angle X = 1/2 (120° + 60°) = 90°.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for finding the angle formed by two tangents drawn from a point outside the circle?

Back

Angle = 1/2 (arc1 - arc2), where arc1 and arc2 are the arcs intercepted by the tangents.

Tags

CCSS.HSG.C.A.2